An efficient simulated annealing algorithm for the minimum vertex cover problem

被引:20
作者
Xu, XS [1 ]
Ma, J [1 ]
机构
[1] Shandong Univ, Sch Comp Sci & Technol, Shandong 250061, Peoples R China
关键词
vertex cover; NP-complete problem; simulated annealing; local minimum;
D O I
10.1016/j.neucom.2005.12.016
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The minimum vertex cover problem is a classic graph optimization problem. It is well known that it is an NP-complete problem. In this paper, an efficient simulated annealing algorithm is presented for the minimum vertex cover problem. In this algorithm, an acceptance function is defined for every vertex. This can help the algorithm in finding a near-optimal solution to a problem. Simulations are performed on several benchmark graphs, and the simulation results show that the proposed algorithm provides a high probability of finding optimal solutions. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码:913 / 916
页数:4
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